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alexira [117]
2 years ago
5

The graph of the function f(x)=4/5 sqrt x is shown. What is the domain of the function?

Mathematics
1 answer:
S_A_V [24]2 years ago
5 0

Answer:

All real number greater than equal to zero.

Step-by-step explanation:

The function is given by

f(x) = \frac{4}{5}\sqrt x

The domain is defined as the input values so that the function is well defined.

here, the values of x should be all real number and zero also.

So, the correct option is  (d).

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On a large map 3 cm represents 45 km how many cm are needed to represent 600 kilometres on this map?
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Answer:

Number of cm= 40 cm

Step-by-step explanation:

Giving the following information:

3 cm equals 45 kilometers

1 cm= 45 /3 = 15km

<u>We need to determine how many centimeters represents 600 km. We will use the following formula:</u>

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Number of cm= total km / km per one cm

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Select all points that are on the line through 0,5
Rus_ich [418]

Answer:

Options (1), (3), and (4)

Step-by-step explanation:

Since, slope of a line passing through two points (x_1,y_1) and (x_2,y_2) is given by,

m = \frac{y_2-y_1}{x_2-x_1}

Therefore, slope of a line passing through (0, 5) and (2, 8) will be,

m = \frac{8-5}{2-0} = 1.5

Equation of line passing through (x', y') and slope 'm' is,

y - y' = m(x - x')

Therefore, equation of a line passing through (0, 5) and slope = 1.5,

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y = 1.5x + 5

Since, all the points which lie on this line will satisfy this equation.

For (4, 11),

11 = 1.5(4) + 5

11 = 11

Point (4, 11) lies on this line.

Point (5, 10)

10 = 1.5(5) + 5

10 = 7.5 + 5

10 = 12.5

But 10 ≠ 12.5

Therefore, (5, 10) doesn't line on the line.

Point (6, 14)

14 = 1.5(6) + 5

14 = 14

True.

Therefore, (6, 14) lies on the line.

Point (30, 50)

50 = 1.5(30) + 5

50 = 50

True.

Therefore, (30, 50) lies on the line.

Point (40, 60)

60 = 1.5(40) + 5

60 = 65

But 60 ≠ 65

Therefore, (40, 60) doesn't lie on the line.

Options (1), (3) and (4) and the correct options.

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2 years ago
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Answer:

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